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Finding the Third Proportional to 163.13 and 223.69

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Solution

The third proportional to 163.13 and 223.69 is: 306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.13 : 223.69 = 223.69 : x
  2. Step 2: Convert to fraction form
    163.13/223.69 = 223.69/x
  3. Step 3: Cross multiply
    163.13x = 223.69 × 223.69
  4. Step 4: Simplify right side
    163.13x = 50,036.10
  5. Step 5: Solve for x
    x = 50,036.10/163.13
  6. Step 6: Final answer
    x = 306.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.